Answer:
3 1/3
Step-by-step explanation:
10+z=z+z+z+z
10+z=4z
10=3z
z=3 1/3
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
Answer:
The friend's claim is not correct
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)
Example
A given line has a slope of
---> (is less than 1)
the slope of the line perpendicular to the given line is equal to

substitute


so
the perpendicular line don't have a positive slope
therefore
The friend's claim is not correct
The area of the yard is 50,600 square feet.
Option: C.
<u>Step-by-step explanation:</u>
The given information forms a trapezoid.
The AB is the upper base (a) and its length is 200 feet.
The CD is the lower base (b) and its length is 260 feet.
A straight line distance from AB and CD is the height (h) and its measures as 220 feet.
The area of trapezoid A=
.
A=
.
=
.
=230(220).
=50600 
Thus the area of John's yard is 50,600 square feet.